NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 18:04 It is currently 28 Apr 2024, 18:04
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Russ19
VP
VP
Joined: 29 Oct 2019
Posts: 1367
Own Kudos [?]: 1436 [7]
Given Kudos: 582
Send PM
The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   25 Mar 2021, 01:57
6
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

63% (01:25) correct 38% (01:43) wrong based on 72 sessions
Hide Show timer Statistics
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?

A) 1.1

B) 2.7

C) 3.7

D) 12.9

E) 13.7
ShowHide Answer
Official Answer
C
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29986 [4]
Given Kudos: 799
Location: Canada
Send PM
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   25 Mar 2021, 07:30
2
Kudos
2
Bookmarks
Expert Reply
Top Contributor
sjuniv32 wrote:
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?

A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7


Let's replace 1.209 and 0.0897 is similar values that have "nice" square roots.

\(\sqrt{1.21}=1.1\) and \(\sqrt{0.09}=0.3\)

So we can write: \(\frac{\sqrt{1.209}}{\sqrt{0.0897} } ≈ \frac{\sqrt{1.21}}{\sqrt{0.09} }\)

\(≈ \frac{1.1}{0.3}\)

\(≈ \frac{11}{3}\)

\(≈ 3.something\)

Answer: C
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [1]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   25 Mar 2021, 09:09
1
Kudos
Expert Reply
sjuniv32 wrote:
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?

A) 1.1

B) 2.7

C) 3.7

D) 12.9

E) 13.7


\(\approx\sqrt{\frac{1.2}{0.09}} = \sqrt{\frac{40}{3}} \approx \sqrt{13}\). We know this value is greater than \(3 = \sqrt{9}\) but less than \(4 = \sqrt{16}\) so we choose C.

Ans: C
User avatar
L
Russ19
VP
VP
Joined: 29 Oct 2019
Posts: 1367
Own Kudos [?]: 1436 [0]
Given Kudos: 582
Send PM
The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   04 Apr 2021, 02:09
TestPrepUnlimited , could you please explain how \(\sqrt{\frac{1.2}{0.09}}\) becomes \(\sqrt{\frac{40}{3}}\)? Thanks!
User avatar
G
Mona2019
Manager
Manager
Joined: 13 Mar 2018
Posts: 194
Own Kudos [?]: 205 [0]
Given Kudos: 1608
Send PM
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   04 Apr 2021, 02:18
sjuniv32 wrote:
TestPrepUnlimited , could you please explain how \(\sqrt{\frac{1.2}{0.09}}\) becomes \(\sqrt{\frac{40}{3}}\)? Thanks!


Cancel 3 from both numerator and denominator .
Then multiply both numerator and denominator by 100

Posted from my mobile device
User avatar
P
ramlala
Senior Manager
Senior Manager
Joined: 22 Aug 2020
Posts: 475
Own Kudos [?]: 352 [1]
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Oxford Said
GPA: 4
WE:Project Management (Energy and Utilities)
Send PM
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   04 Apr 2021, 02:52
1
Kudos
sjuniv32 wrote:
TestPrepUnlimited , could you please explain how \(\sqrt{\frac{1.2}{0.09}}\) becomes \(\sqrt{\frac{40}{3}}\)? Thanks!

Hi sjuniv32

\(\sqrt{\frac{1.2}{0.09}} = \sqrt{\frac{12}{10}*\frac{100}{9}} = \sqrt{\frac{120}{9}} = \sqrt{\frac{40}{3}}\)

I hope its clear your query
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   04 Apr 2021, 09:04
Expert Reply
sjuniv32 wrote:
TestPrepUnlimited , could you please explain how \(\sqrt{\frac{1.2}{0.09}}\) becomes \(\sqrt{\frac{40}{3}}\)? Thanks!


All the responses above are great! When looking at numbers it is important to "see through" them and look at the significant digits. When we see \(\frac{1.2}{0.09}\) we actually want to look at 12 and 9. So the first step is to have \(\frac{120}{9}\) then simplify from there.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32723
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink] New post   28 Apr 2024, 05:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: The value of 1.209^(1/2)/0.0897^(1/2) is closest to which of the follo [#permalink]
28 Apr 2024, 05:17
Moderators:
Bunuel
Math Expert
92977 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions